超平面构形的ф_3不变量的一个算法

An algorithm for invariant ф_3 of hyperplane arrangements

文中给出了关于超平面构形不变量ф3的一个算法,在计算机上进行了实现,并对各种图构形进行了分类计算,找出轮式图中的规律。作为一个应用,证明了m+1有个顶点的轮式图中有ф3=2m。

An algorithm for computing invariant φ3 of hyperplane arrangements is proposed, and a computer program using this algorithm is developed. As an illustration of its application, it is proved that φ3 = 2m for an arrangement associated with a wheel graph with m ＋ 1 vertices.